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Finding the Fourth Proportional to 379,444.16, 523,633.12 and 209,678.28

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Solution

The fourth proportional to 379,444.16, 523,633.12 and 209,678.28 is: 289,356.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,444.16 : 523,633.12 = 209,678.28 : x
  2. Step 2: Convert to fraction form
    379,444.16/523,633.12 = 209,678.28/x
  3. Step 3: Cross multiply
    379,444.16x = 523,633.12 × 209,678.28
  4. Step 4: Simplify right side
    379,444.16x = 109,794,491,952.63
  5. Step 5: Solve for x
    x = 109,794,491,952.63/379,444.16
  6. Step 6: Final answer
    x = 289,356.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.